Abstract
In this lecture we report some applications (concerning nonlinear functional analysis, differential inclusions and control theory) of an approximation theorem by O.Naselli Ricceri ([4], Theorem 3.4) for fixed points of multi-valued contractions.
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References
G. Bonanno and S.A. Marano, Random differential inclusions depending, on a parameter, J. Math. Anal. Appl., to appear.
J.P. Dauer, Perturbations of linear cantrol systems, SIAM J. Control Optim., 9 (1971), 393–400.
S.A. Marano, Classical salutions of partial differential inclusions in Banach spaces, Appl. Anal., to appear.
O. Naselli Ricceri, A-fixced paints of multi-valued cantractions, J. Math. Anal. Appl., 135 (1988), 406–418.
O. Naselli Ricceri, A thearem on the cartrallability, of pervturbed linear control systems, Rend. Accad. Naz. Lincei, 83 (1989), 89–91.
O. Naselli Ricceri, On the cantrvallability of a class of diffenential inclusisns deperding on a parameter, J. Optim. Th. Appl., 65 (1990), 281–288.
O. Naselli Ricceri, On same classes of implicit partial differential equations in Banach spaces, Rend. Accad. Naz. Sci. XL, Mem. Mat., 14 (1990), 67–85.
O. Naselli Ricceri, Classical solutions of the problem x∈F(t,x,x/), x(t0)-x0, x’(t0)-y0 in Banach spacea., Funkc. Ekv., to appear.
O. Naselli Ricceri and B. Ricceri, Differential inclusions depending on a parameten, Bull. Pol. Acad. Sci. Math., 37 (1989), 665–671.
B. Ricceri, structure, appooxcimation et dépendance continue des salutlons de certaines équations non linéaires, C.R. Acad. Sei. Paris, Série I, 305 (1987), 45–47.
B. Ricceri, fun les solutions classiques du probléme de Darbaux pour certaines équations oux dérivées pantielles sous farme implicite dons les espaces de Banach, C.R. Acad, Sei. Paris, Série I, 307 (1988), 325–328.
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© 1992 Springer Science+Business Media Dordrecht
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Ricceri, B. (1992). Approximation Theorem For Fixed Points of Multi-Valued Contractions. In: Singh, S.P. (eds) Approximation Theory, Spline Functions and Applications. NATO ASI Series, vol 356. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2634-2_31
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DOI: https://doi.org/10.1007/978-94-011-2634-2_31
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